Question

Se A - (x + 2)²,B - (x + 3)(x - 3) e C - (x - 1)²,determine A+B+C de forma simplificada.

Answer 1

$A=(x+2)^{2} =x^{2} +2.x.2+2^{2} =x^{2} +4x+4\\ \\ B=(x+3)(x-3)=x^{2} -3^{2} =x^{2} -9\\ \\ C=(x-1)^{2} =x^{2} -2.x.1+1^{2} =x^{2} -2x+1\\ \\ A+B+C=(x^{2} +4x+4)+(x^{2} -9)+(x^{2} -2x+1)=\\ \\agrupe~termos~semelhantes~e~efetue\\ \\x^{2} +x^{2} +x^{2} +4x-2x+4-9+1= \\ \\ 3x^{2} +2x-4$